Solve the Problem $\frac { 6 } { 25 }$ B) $\frac { 3 } { 13 }$

question 195

Multiple Choice

Solve the problem.
-If three cards are drawn without replacement from a deck, find the probability that the third card Is a face card, given that the first card was a queen and the second card was a 5.

• A) \(\frac { 6 } { 25 }\)
• B) \(\frac { 3 } { 13 }\)
• C) \(\frac { 11 } { 50 }\)
• D) \(\frac { 1 } { 5 }\)

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Definitions:

Chi-squared Goodness-of-fit Test

A statistical test used to determine whether observed frequencies differ significantly from expected frequencies specified by a theoretical distribution.

Rule of Five

An empirical rule suggesting that extreme observations in data, more than five standard deviations from the mean, are rare.

Expected Value

The long-term average value of a random variable over numerous trials.

Student Body Proportions

The distribution of various characteristics (e.g., gender, major, year) within a school's student population, often analyzed in educational studies.